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Finding the Fourth Proportional to 30,202.80, 45,302.08 and 9,143.60

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Solution

The fourth proportional to 30,202.80, 45,302.08 and 9,143.60 is: 13,714.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,202.80 : 45,302.08 = 9,143.60 : x
  2. Step 2: Convert to fraction form
    30,202.80/45,302.08 = 9,143.60/x
  3. Step 3: Cross multiply
    30,202.80x = 45,302.08 × 9,143.60
  4. Step 4: Simplify right side
    30,202.80x = 414,224,098.69
  5. Step 5: Solve for x
    x = 414,224,098.69/30,202.80
  6. Step 6: Final answer
    x = 13,714.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.